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149881929120 = 253357211591091
BaseRepresentation
bin1000101110010110101…
…0001011110110100000
3112022212112021220002000
42023211222023312200
54423424233212440
6152504345524000
713554133243200
oct2134552136640
9468775256060
10149881929120
1158623494810
122506b1a3600
1311197c7c631
14737bc18400
153d7355a730
hex22e5a8bda0

149881929120 has 1152 divisors, whose sum is σ = 677613081600. Its totient is φ = 30588364800.

The previous prime is 149881929073. The next prime is 149881929157. The reversal of 149881929120 is 21929188941.

149881929120 is a `hidden beast` number, since 1 + 498 + 8 + 1 + 9 + 29 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137379775 + ... + 137380865.

It is an arithmetic number, because the mean of its divisors is an integer number (588205800).

Almost surely, 2149881929120 is an apocalyptic number.

149881929120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149881929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338806540800).

149881929120 is an abundant number, since it is smaller than the sum of its proper divisors (527731152480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149881929120 is a wasteful number, since it uses less digits than its factorization.

149881929120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 149881929120 in words is "one hundred forty-nine billion, eight hundred eighty-one million, nine hundred twenty-nine thousand, one hundred twenty".